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Finding the Third Proportional to 170,874 and 374,656

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Solution

The third proportional to 170,874 and 374,656 is: 821,465.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    170,874 : 374,656 = 374,656 : x
  2. Step 2: Convert to fraction form
    170,874/374,656 = 374,656/x
  3. Step 3: Cross multiply
    170,874x = 374,656 × 374,656
  4. Step 4: Simplify right side
    170,874x = 140,367,118,336
  5. Step 5: Solve for x
    x = 140,367,118,336/170,874
  6. Step 6: Final answer
    x = 821,465.63

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.